"Our deepest condolences are with the parents and other family members. While we understand that survival in extreme preterm births is rare, it is always painful for the parents and family. We wish them the strength to cope with their loss," it said.

The state health minister, Satyender Jain, has said the hospital's licence could be cancelled if a probe found it guilty of medical negligence.

The Delhi police said on Wednesday that it had transferred the case to its crime unit.

The incident came to light when the parents noticed one of the babies squirming inside the plastic bag that doctors had placed the infants in.

According to the twins' grandfather, the stunned family rushed the newborn to a nearby hospital where they were told that their baby was still alive, local media reported.

This was the second instance in recent months where a private hospital in India has been called out for negligent care. Last month, a girl died of dengue fever in another hospital and the parents allege they were overcharged for her treatment.